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zepelin [54]
2 years ago
15

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a

standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.
Mathematics
1 answer:
irga5000 [103]2 years ago
6 0

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

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Find the range, median, and mode of the following dot plot.
Aloiza [94]

Answer:

Range: 0.07

Median: 0.145

Mode: none

Step-by-step explanation:

<u>Range:</u> largest #- smallest #

<u>Median:</u> middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two

<u>Mode:</u> most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode

5 0
2 years ago
If a magazine has 65 pictures on 10 pages, what is the unit rate of the number of pictures to pages?
love history [14]
Hello there,

The answer to your question is:

<span>The unit rate of the number of pictures to pages is ====> 6.5

Hope this answer helps.
</span>
3 0
2 years ago
Read 2 more answers
Nick's Printing Press promptly sold 5-cent pencils and 10-cent pens to the public. It sold 1000 writing utensils and took $74.50
galben [10]

Answer:

  • 490 pens
  • 510 pencils

Step-by-step explanation:

Let p represent the number of pens Nick sold. Then the revenue is ...

  0.10p +0.05(1000 -p) = 74.50

  0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50

  p = 490 . . . . . . . . . . . . multiply by 20

The number of pencils sold is then ...

  pencils = 1000 -490 = 510

Nick's Printing Press sold 490 pens and 510 pencils.

4 0
3 years ago
A television normally sells for $320 this week it’s on sale for 60% off the normal price what is the price of the sale
stira [4]

Answer:

128 dollars

Step-by-step explanation:

You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)

Hope this helps

6 0
2 years ago
Could someone help me please?
fenix001 [56]

Answer:

a. 7.2

b. 6

Step-by-step explanation:

Since the side lengths of similar polygons are proportional to each other, therefore:

\frac{b}{10} = \frac{9}{15} = \frac{a}{12}

Thus, let's find b using:

\frac{b}{10} = \frac{9}{15}

Cross multiply

b*15 = 10*9

15b = 90

Divide both sides by 15

b = 6

Let's find a using:

\frac{9}{15} = \frac{a}{12}

Cross multiply

9*12 = 15*a

108 = 15a

Divide both sides by 15

a = 7.2

5 0
3 years ago
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